224. Suppose that a particle moves along a straight line with velocity defined by v (t) = t² – 3t – 18, where 0 ≤ t ≤ 6 (in meters per second). Find the displacement at time t and the total distance traveled up to t = 6.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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224. Suppose that a particle moves along a straight line with velocity defined by v (t) = t² – 3t – 18,
where 0 ≤ t ≤ 6 (in meters per second). Find the displacement at time t and the total distance traveled
up to t = 6.
228. A ball is thrown upward from a height of 3m at an initial speed of 60 m/sec. Acceleration resulting
from gravity is -9.8m/sec². Neglecting air resistance, solve for the velocity v(t) and the height h(t) of the
ball t seconds after it is thrown and before it returns to the ground.
Transcribed Image Text:224. Suppose that a particle moves along a straight line with velocity defined by v (t) = t² – 3t – 18, where 0 ≤ t ≤ 6 (in meters per second). Find the displacement at time t and the total distance traveled up to t = 6. 228. A ball is thrown upward from a height of 3m at an initial speed of 60 m/sec. Acceleration resulting from gravity is -9.8m/sec². Neglecting air resistance, solve for the velocity v(t) and the height h(t) of the ball t seconds after it is thrown and before it returns to the ground.
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